Velocity distribution profile for laminar flow between parallel plates is parabolic.

Explanation:
Laminar flow refers to the smooth and orderly movement of fluid particles in a straight line, without any turbulence. In the case of laminar flow between parallel plates, the fluid moves in layers with different velocities. The velocity distribution profile describes how the velocity of the fluid varies across the flow cross-section.

The velocity distribution in laminar flow between parallel plates can be derived using the Hagen-Poiseuille equation. This equation relates the velocity of the fluid to the pressure drop across the flow and the dimensions of the flow channel. The Hagen-Poiseuille equation assumes that the flow is fully developed, meaning that the velocity does not change in the direction of flow.

The velocity distribution profile for laminar flow between parallel plates can be described by a parabolic curve. This means that the velocity is highest at the center of the channel and gradually decreases towards the walls. The maximum velocity occurs at the centerline of the channel, where the fluid particles experience the least resistance to flow. As the fluid particles move closer to the walls, they experience more friction, causing the velocity to decrease.

The parabolic velocity profile can be mathematically represented by the Poiseuille's equation, which states that the velocity at a certain distance from the center of the channel is proportional to the square of that distance. This relationship between velocity and distance from the centerline results in a parabolic velocity distribution profile.

The parabolic velocity profile is a characteristic feature of laminar flow between parallel plates and is commonly observed in various fluid flow applications. It helps in understanding the flow behavior and predicting the fluid dynamics within the flow channel.

In conclusion, the velocity distribution profile for laminar flow between parallel plates is parabolic, with the maximum velocity at the centerline of the channel and gradually decreasing towards the walls. This profile is derived from the Hagen-Poiseuille equation and is an important concept in the study of fluid dynamics.